Correct Answer: 30

Solution : Given: $5+20x-4x^{2}$
If an expression is in the form of $ax^{2}+bx+c$, then the maximum value is given by ($c-\frac{b^2}{4a}$).
Here, $c = 5$, $b = 20$ and $a = -4$
$\therefore$ Maximum value = $5-\frac{20^2}{4×(–4)}$
= $5 - \frac{400}{–16}$
= $5-(-25)$
= $30$
Hence, the

Correct Answer: Jharkhand

Solution : The correct answer is Jharkhand.

Lac is a resin produced by the insect Kerria lacca. It is a bug and is the principal source of lac. Lac is used in a wide range of products, such as bangles, fillers, furniture, drugs, cosmetics, food, etc.

Correct Answer: 37

Solution : Given: x, y, and z are distinct prime numbers where x < y < z.
x + y + z = 70
The sum indicates that at least one integer is even because odd + odd + odd = odd.
There is just one even

Correct Answer: (3)

Solution : The error lies in the second part of the sentence.

Explanation: The phrase "kith and kin" is an idiom that means friends and family. Here, Hitler concentration camps should be replaced with Hitler's concentration camps, as the apostrophe is used to indicate the possessive form,

Correct Answer: Upagupta

Solution : The correct option is - Upagupta.

The well-known Buddhist monk Upagupta had a significant influence on Ashoka. In Northwest India, the Buddhist monk Upagupta preached and instructed on Buddhist doctrines. Ashoka adopted Buddhism as a result of his influence. Sanavasi, a student of the Buddha's

Correct Answer: (4)

Solution : The correct choice is the fourth option.

The sentence is correctly structured and conveys the intended meaning, and it is error-free.

Therefore, the correct sentence is: I don't suppose anyone will volunteer, will they?

Correct Answer: $343$

Solution : Diagonal of cube $= \sqrt3$ × side
⇒ $7\sqrt{3} =  \sqrt3$ × side
⇒ side = 7 cm
$\therefore$ Volume of cube = side³ $=7^3 = 343$ cm³
Hence, the correct answer is $343$.

Correct Answer: Zurich

Solution : The correct option is - Zurich.

The association FIFA, which was founded in accordance with Swiss legislation, has its headquarters in Zurich. The FIFA Congress, which is made up of delegates from each affiliated member association, is FIFA's governing body.

Correct Answer: ACDB

Solution : The correct option is the third option.

Explanation:
First, the encounter with the uncle is established (A), while on the way to school, the narrator meets their uncle, who has recently returned from England. Then, there's an exchange of pleasantries and familial inquiries (C), where

Correct Answer: Chalukyas

Solution : The correct answer is Chalukyas.

Ravi Kirti was the court poet of Pulakeshin II. He was the most famous ruler of the Chalukya dynasty, and he ruled from 610 to 642 CE. Pulakeshin II defeated Harsh Vardhan, and the battle was mentioned in Aihole inscriptions.